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Finding the Fourth Proportional to 469.61, 647.97 and 292.62

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Solution

The fourth proportional to 469.61, 647.97 and 292.62 is: 403.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.61 : 647.97 = 292.62 : x
  2. Step 2: Convert to fraction form
    469.61/647.97 = 292.62/x
  3. Step 3: Cross multiply
    469.61x = 647.97 × 292.62
  4. Step 4: Simplify right side
    469.61x = 189,608.98
  5. Step 5: Solve for x
    x = 189,608.98/469.61
  6. Step 6: Final answer
    x = 403.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.